809380 has 48 divisors (see below), whose sum is σ = 2003904. Its totient is φ = 270720.

The previous prime is 809377. The next prime is 809383. The reversal of 809380 is 83908.

809380 = 78² + 79² + ... + 142².

It is an interprime number because it is at equal distance from previous prime (809377) and next prime (809383).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (809383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2719 + ... + 3001.

It is an arithmetic number, because the mean of its divisors is an integer number (41748).

2⁸⁰⁹³⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001952).

809380 is an abundant number, since it is smaller than the sum of its proper divisors (1194524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

809380 is a wasteful number, since it uses less digits than its factorization.

809380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 809380 is about 899.6554896181. The cubic root of 809380 is about 93.1931853528.

The spelling of 809380 in words is "eight hundred nine thousand, three hundred eighty".